How do you factor #2x^2- 18#? Algebra Polynomials and Factoring Monomial Factors of Polynomials 1 Answer Meave60 Sep 28, 2015 The answer is #2(x+3)(x-3)# . Explanation: #2x^2-18# Factor out the GCF #2#. #2(x^2-9)# #x^2-9# fits the form #a^2-b^2#, where #a=x and b=3#. Rewrite the expression. #2(x^2-3^2)# #a^2-b^2=(a+b)(a-b)# #2(x+3)(x-3)# Answer link Related questions What are Monomial Factors of Polynomials? How do you factor polynomials by finding the greatest common factor? How can a factoring problem be checked? How do you find the greatest common factors of variable expressions? How do you factor #3a+9b+6#? What is the greatest common factor of #a^3-3a^2+4a#? How do you factor #12xy+24xy^2+36xy^3#? How do you find the greatest common factor of #45y^{12}+30y^{10}#? How do you factor #92x^10y^4 - 54x^12y^9#? How do you factor #4x^2+x#? See all questions in Monomial Factors of Polynomials Impact of this question 27494 views around the world You can reuse this answer Creative Commons License